He was born at Witney, Oxfordshire, in England. He was educated as an architect at the Oxford School of Architecture, graduating in 1970. As the founder of the Alternative Miss World in 1972 (which he continues to run) he became a key figure in London's cultural and fashion life. He notably influenced film-maker Derek Jarman, whose early film-making work documented the social scene around Andrew Logan and his studios at Butler's Wharf, London. His studios were also where Malcolm McLaren and Vivienne Westwood staged the notorious "Valentine's Ball" in 1976, at which the Sex Pistols first came to media attention.

In 1991 a major retrospective of his work was held at the Museum of Modern Art, Oxford. The purpose-built Andrew Logan Museum of Sculpture, at Berriew in the Welsh Marches, now houses much of his sculpture and painting. It is the nation's only museum devoted to a living artist. His work is also in numerous museums and private collections around the world.

In the new millennium, Andrew Logan created jewelled sculptures for The Magic Flute opera in San Diego. In 2004, Andrew Logan's eleventh Alternative Miss World contest was held at the Hippodrome in London. He went on to give an Art workshop at the Jaipur Heritage Festival in India.

Andrew Logan is also a qualified yoga teacher and gave a Presentation of Yoga art show in London. He then did a jewellery presentation with Emmanuel Ungaro in Paris.

In 2007, Andrew Logan continues to be prolific, diversifying his talent in all mediums. In May, he was invited to be part of the jury for a children's beauty contest in Sochi. In July, his jewellery was auctioned at Halls Fine Art in Shrewsbury. In August, he was invited by Comme des Garçons to Tokyo and Kyoto for their catwalk show, which was inspired by his style and jewellery. He was asked to decorate a guitar for a high profile charity auction held in London. In August, he was invited to participate in three events in The Big Draw: he collaborated with Zandra Rhodes on The Big Picture Frame at the V&A Museum of Childhood in Bethnal Green, he gave a presentation of his watercolours in The Newsroom at The Guardian and in Covent Garden.

In December 2007, Andrew Logan attended a dinner party at Zandra Rhodes's penthouse which was filmed by a London-based photographer Ben Charles Edwards, entitled Eat Your Chiffon.

Andrew Logan's work blends camp pop-art and neo-romanticism to form a quintessentially English 'eccentricity of vision'.